The 3 parts of the name, "tri", "in" and "phi", mean 3, the "in-" operation and \(\varphi\) function respectively, which form \(\varphi(\varphi(\varphi(\varphi(0,0),0),0),0)\) (i.e. 3 more insertions of \(\varphi\)) when concatenated backwards. So the full name indicates the ordinal index of the number.